Q: What are the factor combinations of the number 24,724,115?

 A:
Positive:   1 x 247241155 x 494482313 x 190185547 x 52604565 x 380371235 x 105209611 x 404653055 x 8093
Negative: -1 x -24724115-5 x -4944823-13 x -1901855-47 x -526045-65 x -380371-235 x -105209-611 x -40465-3055 x -8093


How do I find the factor combinations of the number 24,724,115?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 24,724,115, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 24,724,115
-1 -24,724,115

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,724,115.

Example:
1 x 24,724,115 = 24,724,115
and
-1 x -24,724,115 = 24,724,115
Notice both answers equal 24,724,115

With that explanation out of the way, let's continue. Next, we take the number 24,724,115 and divide it by 2:

24,724,115 ÷ 2 = 12,362,057.5

If the quotient is a whole number, then 2 and 12,362,057.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,724,115
-1 -24,724,115

Now, we try dividing 24,724,115 by 3:

24,724,115 ÷ 3 = 8,241,371.6667

If the quotient is a whole number, then 3 and 8,241,371.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,724,115
-1 -24,724,115

Let's try dividing by 4:

24,724,115 ÷ 4 = 6,181,028.75

If the quotient is a whole number, then 4 and 6,181,028.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,724,115
-1 24,724,115
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151347652356113,0558,09340,465105,209380,371526,0451,901,8554,944,82324,724,115
-1-5-13-47-65-235-611-3,055-8,093-40,465-105,209-380,371-526,045-1,901,855-4,944,823-24,724,115

More Examples

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